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Finding the Third Proportional to 72,169.73 and 103,957.31

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Solution

The third proportional to 72,169.73 and 103,957.31 is: 149,745.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,169.73 : 103,957.31 = 103,957.31 : x
  2. Step 2: Convert to fraction form
    72,169.73/103,957.31 = 103,957.31/x
  3. Step 3: Cross multiply
    72,169.73x = 103,957.31 × 103,957.31
  4. Step 4: Simplify right side
    72,169.73x = 10,807,122,822.22
  5. Step 5: Solve for x
    x = 10,807,122,822.22/72,169.73
  6. Step 6: Final answer
    x = 149,745.91

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.